(Resolution) is sharpest when the ratio of wavelength to telescope size (i.e. lambda/D)

the best frequency range in which to study the hot (million-kelvin) gas found among the galaxies in the Virgo cluster would be

An FSU student is observing the phases of Venus with his 8 inch reflector telescope, and a UF student is doing the same with a 16 inch reflector telescope. How much more light gathering power does the UF telescope have?

Again, an FSU student is observing the phases of Venus with his 8 inch reflector telescope, and a UF student is doing the same with a 16 inch reflector telescope. How much "more" resolving power (i.e. angular resolution) does the UF telescope have?

Once again: The FSU student and the UF student decide to do some radio astronomy and look at an intergalactic molecular cloud with their 30 meter dishes. They are looking at 60 micrometer light. What is the resolving power of each of these telescopes.

The FSU student and the UF student decide to do some radio astronomy and look at an intergalactic molecular cloud with their 30 meter dishes. They are looking at 60 micrometer light. The decide that the resolution is not sufficient to see the details of the cloud. What can they do?

They each stay at home, but get a fast internet link, and link the outputs of the two radio telescopes together with a computer.